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Discrete solutions for the porous medium equation with absorption and variable exponents

  • Published:2017-07 Issue: Volume:137 Page:109-129
  • ISSN:0378-4754
  • Container-title:Mathematics and Computers in Simulation
  • language:en
  • Short-container-title:Mathematics and Computers in Simulation

Author:

Almeida Rui M.P.,Antontsev Stanislav N.,Duque José C.M.ORCID

Funder

FEDER

FCT—Fundação para a Ciência e a Tecnologia

Russian Science Foundation, Russia

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science

Reference21 articles.

1. Existence and uniqueness of solutions of degenerate parabolic equations with variable exponents of nonlinearity;Antontsev;Fundam. Prikl. Mat.,2006

2. Evolution PDEs with Nonstandard Growth Conditions;Antontsev,2015

3. The Finite Element Method for Elliptic Problems;Ciarlet,2002

4. Convergence of the finite element method for the porous media equation with variable exponent;Duque;SIAM J. Numer. Anal.,2013

5. Numerical study of the porous medium equation with absorption, variable exponents of nonlinearity and free boundary;Duque;Appl. Math. Comput.,2014

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